evaluate (8!) / (4!*4!)

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beckden's profile pic

beckden | High School Teacher | (Level 1) Educator

Posted on

`8! = 1*2*3*4*5*6*7*8`

` 4! =1*2*3*4`

 

So `(8!)/((4!)(4!))=(1*2*3*4*5*6*7*8)/((1*2*3*4)(1*2*3*4))`

`= (5*6*7*8)/(1*2*3*4)=(5*7*2)=70`

So `(8!)/((4!)(4!))=70`

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`(8!) / (4!xx4!) `

`(8!)= 40,320    `

`(4!xx4!)=576 `

`(40320) / (576) =70 `

teachc79's profile pic

teachc79 | Elementary School Teacher | (Level 1) eNoter

Posted on

8! we verbally say this as 8 factorial.  8 factorial means 8x7x6x5x4x3x2x1 which you should get 40,320 as your numerator.

Then 4! is 4x3x2x1 which is 24.  Since you have 4! x 4! the denominator is 24 x 24 which is 576.

So now you have 40,320 / 576.  Now all you have to do is divide.  40,320 divided by 576 and you also get 70.

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